3136 . The greatest number which can divide 1356, 1868 and 2764, leaving the same remainder 12 in each case, is:

A. 64
B. 124
C. 156
D. 260

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Answer: Option A

Explanation:

Here, the required number will be the HCF of (1356-12), (1868-12) and (2764 - 12)

HCF of (1356-12), (1868-12) and (2764 - 12) = HCF of 1344, 1856 and 2752 = 64

∴ The greatest number which can divide 1356, 1868 and 2764 leaving the same remainder 12 in each case is 64.

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পূবালী ব্যাংক লিমিটেড || প্রবেশনারি অফিসার (30-09-2023) || 2023

A. 99
B. 89
C. 79
D. 69

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Answer: Option A

Explanation:

Hints Let another number = x

We know, product of two number = HCF × LCM

77 × x = 693 × 11

x = 693 × 11 / 77

x = 99

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3138 . The height of a cylinder is four times the radius of the cylinder. If the volume of the cylinder is 256 cm², what is the radius of the cylinder.

A. 4 cm
B. 8 cm
C. 16 cm
D. 24 cm

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Answer: Option A

Explanation:

To find the radius of the cylinder, we can use the formula for the volume of a cylinder, which is given by:

Volume = π * r^2 * h

where:

Volume is the volume of the cylinder,
π is the mathematical constant pi (approximately 3.14159),
r is the radius of the cylinder, and
h is the height of the cylinder.

We are given that the height of the cylinder is four times the radius, which can be expressed as h = 4r.

We are also given that the volume of the cylinder is 256 cm³. Plugging these values into the volume formula:

256 = π * r^2 * (4r)

Now, we can solve for r:

256 = 4πr^3

Divide both sides by 4π:

r^3 = 64

Now, take the cube root of both sides to find r:

r = ∛64

r = 4

So, the radius of the cylinder is 4 cm.

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সমন্বিত ৭ ব্যাংক || সিনিয়র অফিসার-05-11-2021 ||

3139 . The height of a equilateral traingle with a side 2 cm is-

A. $\sqrt{3} c m$
B. $2 \sqrt{3} c m$
C. $3 \sqrt{2} c m$
D. $\sqrt{5} c m$

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Answer: Option A

Explanation:

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সমন্বিত ৭ ব্যাংক ও ১টি আর্থিক | সিনিয়র_অফিসার | 27-11-2021

3140 . The highest common factor (HCF) of $x^{2} - 1, x^{4} - 1$ and $x^{4} - x^{3} + x - 1$ is

A. $x^{6} - 1$
B. $x^{3} + 1$
C. $x^{2} - 1$
D. $x^{3} - 1$

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Answer: Option C

Explanation:

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অফিসার (জেনারেল) - 12.11.2021

A. 1 degree
B. 2 degree
C. 3 degree
D. 4 degree
E. 5 degree

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Answer: Option A

Explanation:

Move in 1 minute = 1/60 degree

:. Move in 60 minutes = (1/60)x60 = 1 degree

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Bangladesh Bank - Assistant Director - 2009

A. 13
B. 15
C. 17
D. 19

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Answer: Option C

Explanation:

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প্রবাসী কল্যাণ ব্যাংক-সিনিয়র অফিসার-09-10-2021

A. 7%
B. 8%
C. 9%
D. 10%

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Answer: Option D

Explanation:

Let,

The income of C is = 100

The income of B is = 75 (25% of C = 100*25% = 75)

The income of A is = 90 ( 20% higher of B = 75*120% = 90)

so, A's income less than C's income is = (100 - 90) = 10

Percent = 10/100*100 = 10% (Ans)

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Senior Officer- 8 Bank Recruitment Test 31-08-2018

A. 10p + 20q
B. 30q
C. 30p
D. 20p + 10q

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Answer: Option A

Explanation:

Interest for the first month is 10×p
Interest for the next 2 month will be 2×10q
Total Interest = 10p + 20q

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Three Combined Bank Recruitment - Senior Officer 03 .08.2018 ||

A. 10(P+Q)
B. 10(P+9Q)
C. 4P+9Q
D. None of this

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Answer: Option B

Explanation:

For the first three month interest of Tk 10000 = 10p
For the each month after three month interest of Tk 10000 = 10*9q
Total interest = 10(p + 9q)

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3146 . The interest on a certain deposit at 4.5% p.a. is TK. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a. ?

A. TK. 22.50
B. TK. 25
C. TK. 20.25
D. TK. 42.75

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Answer: Option A

Explanation:

For 4.5% p.a

I = pnr/100

P = I × 100/nr = ( 202.50 × 100)/( 1× 4.5) = 4500

for 5% p.a

I = pnr

= 4500 × 1 × 5/100 = 225

The total additional interest = ( 225 - 202.50)Tk. = 22.50tk.

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Bangladesh Bank - Officer(Cash) - 2016

A. Tk.450
B. Tk.300
C. Tk.31.5
D. None of these

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Answer: Option D

Explanation:

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3148 . The interior angles of a polygon are in AP. The smallest angle is 120° and the common differences is 5". Find the number of sides of the polygon.

A. 7
B. +8
C. 9
D. 10

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Answer: Option C

Explanation:

To find the number of sides of the polygon, you can use the following formula for the sum of interior angles in a polygon:

Sum of Interior Angles = (n - 2) × 180°

Where "n" is the number of sides of the polygon.

In this case, you are given that the smallest angle is 120°, and the common difference between the interior angles is 5°. So, you can set up an arithmetic progression (AP) to find the sum of the interior angles:

First angle (a) = 120° Common difference (d) = 5°

The sum of an AP is given by:

Sum = n/2 * [2a + (n-1)d]

Now, plug in the values:

Sum = n/2 * [2(120°) + (n-1)(5°)]

Simplify:

Sum = n/2 * [240° + 5°(n-1)]

Sum = n/2 * [240° + 5n - 5°]

Sum = n/2 * [5n + 235°]

Now, you know that the sum of interior angles of the polygon is equal to (n - 2) × 180°:

n/2 * [5n + 235°] = (n - 2) × 180°

Now, solve for "n":

n[5n + 235°] = 2(n - 2) × 180°

5n^2 + 235n = 2(180n - 360)

5n^2 + 235n = 360n - 720

Rearrange:

5n^2 - 125n - 720 = 0

Now, you can solve this quadratic equation for "n." You can either use the quadratic formula or factor it. Factoring, you get:

(n - 9)(5n + 80) = 0

Setting each factor equal to zero:

n - 9 = 0 => n = 9
5n + 80 = 0 => 5n = -80 => n = -16 (but this doesn't make sense in this context)

So, the number of sides of the polygon is 9.

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সমন্বিত ৭ ব্যাংক || সিনিয়র অফিসার-05-11-2021 ||

A. (x-1)/2
B. (x+1)/2
C. 2x-1
D. 2x-1

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Answer: Option B

Explanation:

Caution: Inverse function (not inverse only)
Formula for inverse function:
1. y = f(x)
=> x => f^-1(y)
2. find x = something

Lets start:
y = f(x) = 2x-1
=> 2x = y+1
=> x = (y+1) / 2
=> f^-1(y) = (y+1) / 2
=> f^-1(x) = (x+1) / 2

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সমন্বিত ৭ ব্যাংক ও ১টি আর্থিক | সিনিয়র_অফিসার | 27-11-2021

A. 28
B. 32
C. 40
D. 64

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Answer: Option C

Explanation:

Let the numbers be 2x and 3x

Then, their L.C.M = 6x

So, 6x = 48

x = 8

The numbers are 16 and 24

Hence, required sum = (16 + 24) = 40

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3136 . The greatest number which can divide 1356, 1868 and 2764, leaving the same remainder 12 in each case, is:

3137 . The H.C.F of two number is 11 and their L.C.M is 693. If one of the numbers is 77 find the other.

3138 . The height of a cylinder is four times the radius of the cylinder. If the volume of the cylinder is 256 cm², what is the radius of the cylinder.

3141 . The hour hand of an analog clock moves 1/60th of a degree every minute. Then how many degree will the hour hand move in one hour ?

3142 . The hypotenuse of a right triangle is 2 centimeters more than linger side of the triangle. The shorter side of the triangle is 7 centimeters less than the longer side. Find the length of the hypotenuse.

3143 . The income of 'A' is 20% higher than that of 'B' . The income of 'B' is 25% less than of 'C' What percent less is A ' s income form C's income?

3144 . The interest charged on a loan is p dollars per $1,000 for the first month and q dollars per $1,000 for each month after the first month . How much interest will be charged during the first three months on a loan of $ 10,000?

3145 . The interest charged on a loan is ‘P’, per Tk, 1000 for the first quarter (3 months), and 'Q' per Tk. 1000 for each month after the first quarter. How much interest will be charged for the first year on Tk. 10,000?

3146 . The interest on a certain deposit at 4.5% p.a. is TK. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a. ?

3147 . The interest on a certain deposit at 9% per annum is Tk.405 in one year. How much will the additional interest in one year be on the same diposit at 10 percent per annum?

3148 . The interior angles of a polygon are in AP. The smallest angle is 120° and the common differences is 5". Find the number of sides of the polygon.

3149 . The inverse of f(x) =2x-1 is

3150 . The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. The sum of the numbers is :

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